Stability of a secondary dengue viral infection model with multi-target cells

Abstract

Dengue is one of the vector-borne diseases spread in most parts of the world. The number of infected individuals is increased each year. This paper proposes a mathematical model describing the secondary dengue viral infection in micro-environment. This model takes into consideration that the dengue virus can infect multiple classes of target cells. Due to the secondary infection, the model incorporates two types of antibodies, heterologous and homologous. We establish the well-posedness of the model. We compute three threshold parameters which characterize the existence and stability conditions for the four steady states of the model. Global stability analysis for all steady states is carried out by formulating Lyapunov function and using Lyapunov-LaSalle asymptotic stability theorem. We demonstrate the analytical findings via numerical simulations.

Keywords

• 34D20
• 34D23
• 37N25
• 92B05